What is the remainder when 2! + 3! + 4! . 101 is divided by 6? а. 4

Q: Determine the least common denominator of all the fractions appearing in both the numerator and…

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Q: 2 Find ১ つrdy 2 3 そ。(ズィ bayy s)

A: First we differentiate with respect to x and then differentiate that function with respect to y

Q: Find the least positive integer that yields the remainders 1, 3, and 5 when divided by 5, 7, and 9,…

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Q: 86- The remainder upon the division of x 98 + 4 by x – 4 in Z, is:

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Q: Find a reduction formula for ∫sinnxdx, n≥2.

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Q: If a, b are two distinct prime number than a highest common factor of a, b is: (2 ab

A: HCF of two numbers is found out by taking common prime factors from both the numbers the…

Q: Explain why In 4 is greater than 1 but is less than 2.

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Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder 1, 5 when…

A: Let x be the required number. The number is divisible by 3, so it leaves the remainder 0 when it is…

Q: If N =30 -1. Is N is divisible by 125?

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Q: 2 \n. 1+ - 39. in

A: I have provided the solution. THANK YOU.

Q: What are the coefficients of æ5000 and æ4999 in the simplified expansion of (5æª – 2)²2021?

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Q: If a number has n fraction (n>1), then the square of the number has 2n factors is this true

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Q: What would it be the coefficient of determination if the sums of squares due to regression (SSR) is…

A: Given: SSR=12.01 SST = 24.51

Q: Show that if any eight positive integers are chosen, two of them will have the same remainder when…

A: Pigeonhole Principle- If n items are assigned to m containers, and m<n,then at least one…

Q: 9.) Is 9" + 3 is divisible by 4? PROVE IT!

A: Given : 9n+3 is divisible by 4. To Prove: The given statement is true for n=k+1. Consider Tn=9n+3.…

Q: What is the smallest positive integer that has 6, 8, and 10 as factors?

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Q: Show by mathematical l Induction y 4n-2 3. +17 can be divided by +22 possitive integers 16 far all

A: To prove the given statement by using mathematical induction.

Q: What is the middle term of the expansion (æ² – 4)* - 43750x^8 59080x^8 43500x^8 17920x^8

A: We will find middle term as

Q: very third grade class has acert

A: The solution is given below

Q: 1. What are the possible remainders of prime numbers greater than 2 when it is divided by 7? а. 1,…

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Q: by induetion that nên divisible by Q6: Prove

A: To prove: n5 - n is divisible by 10

Q: When x is divided by 7, the remainder is 5. What is the remainder when 5x is divided by 7? Moreover,…

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Q: 28. -0.5x? + 3 = -5x – 2

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Q: (5p +5p - 26) divided by (p+3) O 5p - 10, remainder 4 O 5p - 10, remainder 5 O 5p - 13, remainder 8…

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Q: Find the smallest integer greater than 100 that is divisible by 5, but leaves the remainders 1, 5…

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Q: What is the fraction representation of 0.196 ? Use the number pad to enter your answer in the bo:

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Q: If you multiply 20% of 50 by 1/4 of 60 and divide the result by 0.25 of 80, what answer do you get?

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Q: When 32 is divided by an integer, the remainder is 4. When 51 is divided by the same integer, the…

A: We can use concept of HCF to solve the problem

Q: 1. Find the remainder when 53751 is divided by 11.

A: 1. We will use the Euler's theorem, to find the remainder.

Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: Find an integer that leaves a remainder of 2 whan divided by either 3 or 5, but that is divisible by…

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Q: A nursery employee wishes to plant 7 aplle trees, 5 pear trees, and 10 apricot trees in one row.…

A: Given a nursery employee wishes to plant 7 apple trees, 5 pear trees, and 10 apricot trees in one…

Q: 4. Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can…

A: We have to find the sum of all divisor of 5020 and then the amicable pair of the number.

Q: Prove that for any integer a, 9/(a – 3).

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Q: 5. What is the remainder after 2x^3 +5x^2 -4x + 9 is divided by ( x + 4 ) * O 201

A: Remainder is the part of something that is left over when some other parts are completed. In…

Q: 1. Express - single fraction as a | X+4

A: “Since you have asked a multiple question, we will solve the first question for you. If youwant any…

Q: 4. Is 9,521 less than, greater than, or equal to 9,.251? 5. How w many eighths are in 1-? 6. 2+3 x2…

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Q: "For all integers n, n(n² – 1) is divisible by 6." (You may use quotient-remainder theorem and…

A: Let us consider, for all integers n a = n3 – n a = n (n2 – 1) a = n (n + 1)(n – 1)

Q: When a whole number is multiplied by 100, where is there a 0 in the product

A: Given:Whole number is multiplied by 100,Where is there a 0 in the product

Q: in 2  rows  there are  5 armchairs  and all are  occupied , in how many  differnt  ways can theses…

A: Given: Number of Rows =2. Number of armchair = 5. To determine the number of ways substitute the…

Q: 14. Perform the indicated operations. (3x² - 9) + (3x² + 4x + 9) - ( - 6x² + 4)

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Q: What is 8% of 5 x 10 ^7

A: We have to find 8 % of 5 × 107

Q: What is the last digit when you expand 3^2005 ?

A: Topic - exponents

Q: 2. Write as the sum/difference of logs. Express powers as factors. (r+2)71 In LyVz-5

A: Givenlnx+27yz-5To wrtite the sum/difference of log Formula:ln ab=ln a -ln bln ab=ln a + ln bln ak=k…

Q: How many terms will be in the expansion of (2x+3y)^6?

A: How many terms will be in the expansion of (2x+3y)^6?   Use the binomial expansion theorem to find…

Q: how is 0.46= .32276 because on the z table it's 32.64 so where does the .32276 come from

A: The z-score is -0.46.

Q: Please explain and provide a solution: Remainder 0 or 1 is given when n2 is divided by 3 ( n for all…

A: According to Quotient remainder theorem, for any non zero integers n and d, there exist integer q…

Q: 13) Demonstrate this subtraction problem by decomposing the total before finding the difference.…

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Q: What is the value of the coefficient of the 5th term in the expansion of (a+b)6?

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Q: (17)10 = (?)5 • Using repeated division:

A: A polynomial is an expression that contains variables and coefficients. There are three types of…